Description
Book SynopsisPresents a collection of articles that are based on lectures presented during the Winter School on Mirror Symmetry held at Harvard University. This book brings together the research in a major area of mathematical physics, including the progress in mirror manifolds and Lagrangian submanifolds.
Table of ContentsExceptional mirror symmetry by B. S. Acharya Floer homology and mirror symmetry I by K. Fukaya On the gauge theory/geometry correspondence by R. Gopakumar and C. Vafa Special Lagrangian fibrations I: Topology by M. Gross Special Lagrangian fibrations II: Geometry. A survey of techniques in the study of special Lagrangian fibrations by M. Gross Lectures on special Lagrangian submanifolds by N. Hitchin Local mirror symmetry at higher genus by A. Klemm and E. Zaslow From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform by N. C. Leung, S.-T. Yau, and E. Zaslow $N = 1$ heterotic string vacua from mirror symmetry by P. Berglund and P. Mayr Homological mirror symmetry with higher products by A. Polishchuk Fukaya category and Fourier transform by D. Arinkin and A. Polishchuk Categorical mirror symmetry in the eliptic curve by A. Polishchuk and E. Zaslow Lagrangian torus fibration of quintic hypersurfaces I: Fermat quintic case by W.-D. Ruan Mirror symmetry is T-duality by A. Strominger, S.-T. Yau, and E. Zaslow Derived categories for the working mathematician by R. P. Thomas Mirror symmetry and actions of braid groups on derived categories by R. P. Thomas.
